Einstein–Podolsky–Rosen steering measure for two-mode continuous variable states

@article{Kogias2015EinsteinPodolskyRosenSM,
  title={Einstein–Podolsky–Rosen steering measure for two-mode continuous variable states},
  author={Ioannis Kogias and Gerardo Adesso},
  journal={Journal of The Optical Society of America B-optical Physics},
  year={2015},
  volume={32}
}
  • I. Kogias, G. Adesso
  • Published 3 November 2014
  • Physics
  • Journal of The Optical Society of America B-optical Physics
Steering is a manifestation of quantum correlations that embodies the Einstein–Podolsky–Rosen (EPR) paradox. While there have been recent attempts to quantify steering, continuous variable systems remained elusive. We introduce a steering measure for two-mode continuous variable systems that is valid for arbitrary states. The measure is based on the violation of an optimized variance test for the EPR paradox by quadrature measurements and admits a computable and experimentally friendly lower… 

Figures from this paper

Einstein-Podolsky-Rosen uncertainty limits for bipartite multimode states
Certification and quantification of correlations for multipartite states of quantum systems appear to be a central task in quantum information theory. We give here a unitary quantum-mechanical
Hierarchy of Steering Criteria Based on Moments for All Bipartite Quantum Systems.
TLDR
This work provides a hierarchy of sufficient conditions for the steerability of bipartite quantum states of any dimension, including continuous variable states, and provides a systematic framework to analytically derive nonlinear steering criteria.
Detecting Einstein-Podolsky-Rosen steering through entanglement detection
Quantum inseparabilities can be classified into three inequivalent forms: entanglement, Einstein-Podolsky-Rosen (EPR) steering, and Bell's nonlocality. Bell-nonlocal states form a strict subset of
Einstein-Podolsky-Rosen-like separability criteria for two-mode Gaussian states
We investigate the separability of the two-mode Gaussian states by using the variances of a pair of Einstein-Podolsky-Rosen (EPR)-like observables. Our starting point is inspired by the general
Quantum steering of Gaussian states via non-Gaussian measurements
TLDR
A formalism based on local uncertainty relations of non-Gaussian measurements is shown to manifest quantum steering of some Gaussian states that Gaussian criterion fails to detect, opening a new direction for critical studies beyond Gaussian regime.
Dynamical Gaussian quantum steering in optomechanics
Abstract Einstein-Podolski-Rosen steering is a form of quantum correlation exhibiting an intrinsic asymmetry between two entangled systems. In this paper, we propose a scheme for examining dynamical
EPR Steering inequalities with Communication Assistance
TLDR
The set of bipartite quantum states which admits a local hidden state model augmented with c bits of classical communication from an untrusted party (Alice) to a trusted party (Bob) is characterized and it is conjectured that a state-of-the-art quantum experiment would be able to falsify two bits of communication this way.
Quantum steering: a review with focus on semidefinite programming.
TLDR
This review gives an overview of how to characterise quantum steering through semidefinite programming, which provides efficient numerical methods to address a number of problems, including steering detection, quantification, and applications.
Inequivalence of entanglement, steering, and Bell nonlocality for general measurements
Einstein-Podolsky-Rosen steering is a form of inseparability in quantum theory commonly acknowledged to be intermediate between entanglement and Bell nonlocality. However, this statement has so far
Controlling stationary one-way steering via thermal effects in optomechanics
Quantum steering is a kind of quantum correlations stronger than entanglement but weaker than Bell-nonlocality. In an optomechanical system pumped by squeezed light and driven in the red sideband, we
...
1
2
3
...

References

SHOWING 1-10 OF 59 REFERENCES
Quantifying Einstein-Podolsky-Rosen steering.
TLDR
It is shown that every pure entangled state is maximally steerable and the projector onto the antisymmetric subspace is maximALLY steerable for all dimensions; a new example of one-way steering is provided and strong support is given that states with positive-partial transposition are not steerable.
Quantification of Gaussian quantum steering.
TLDR
A computable measure of steering for arbitrary bipartite Gaussian states of continuous variable systems is introduced, which reduces to a form of coherent information, which is proven never to exceed entanglement, and to reduce to it on pure states.
Steering, entanglement, nonlocality, and the Einstein-Podolsky-Rosen paradox.
TLDR
An operational definition is provided, from which it is proved that steerable states are a strict subset of the entangled states, and a strict superset of the states that can exhibit Bell nonlocality.
Revealing hidden Einstein-Podolsky-Rosen nonlocality.
TLDR
This work proposes and experimentally test a new criterion based on entropy functions, and shows that it is more powerful than the variance inequality for identifying EPR steering, and results open up the possibility of observing this type of nonlocality in a wider variety of quantum states.
Einstein-Podolsky-Rosen steering provides the advantage in entanglement-assisted subchannel discrimination with one-way measurements
Steering is the entanglement-based quantum effect that embodies the “spooky action at a distance” disliked by Einstein and scrutinized by Einstein, Podolsky, and Rosen. Here we provide a necessary
Necessary and sufficient quantum information characterization of Einstein-Podolsky-Rosen steering.
TLDR
It is proved that, for any bipartite steerable state, there are instances of the quantum subchannel discrimination problem for which this state allows a correct discrimination with strictly higher probability than in the absence of entanglement, even when measurements are restricted to local measurements aided by one-way communication.
Strong Einstein-Podolsky-Rosen steering with unconditional entangled states
In 1935 Schr\"odinger introduced the terms entanglement and steering in the context of the famous gedanken experiment discussed by Einstein, Podolsky, and Rosen (EPR). Here, we report on a sixfold
Quantum steering of multimode Gaussian states by Gaussian measurements: monogamy relations and the Peres conjecture
It is a topic of fundamental and practical importance how a quantum correlated state can be reliably distributed through a noisy channel for quantum information processing. The concept of quantum
Loophole-free Einstein–Podolsky–Rosen experiment via quantum steering
Tests of the predictions of quantum mechanics for entangled systems have provided increasing evidence against local realistic theories. However, there remains the crucial challenge of simultaneously
The Resource Theory of Steering
TLDR
An operational framework for Einstein-Podolsky-Rosen steering as a physical resource is presented and it is proved that two previously proposed quantifiers, the steerable weight and the robustness of steering, are also convex steering monotones.
...
1
2
3
4
5
...